An external pressure

Question:

An external pressure $P$ is applied on a cube at $0^{\circ} \mathrm{C}$ so that it is equally compressed from all sides. $K$ is the bulk modulus of the material of the cube and $\alpha$ is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

 

  1. $\frac{3 \alpha}{P K}$

  2. $3 P K \alpha$

  3. $\frac{\mathrm{P}}{3 \alpha K}$

  4. $\frac{\mathrm{P}}{\alpha \mathrm{K}}$


Correct Option: , 3

Solution:

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